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Finding the Fourth Proportional to 11,291.01, 16,948.58 and 9,557.19

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Solution

The fourth proportional to 11,291.01, 16,948.58 and 9,557.19 is: 14,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.01 : 16,948.58 = 9,557.19 : x
  2. Step 2: Convert to fraction form
    11,291.01/16,948.58 = 9,557.19/x
  3. Step 3: Cross multiply
    11,291.01x = 16,948.58 × 9,557.19
  4. Step 4: Simplify right side
    11,291.01x = 161,980,751.50
  5. Step 5: Solve for x
    x = 161,980,751.50/11,291.01
  6. Step 6: Final answer
    x = 14,345.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.