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Finding the Fourth Proportional to 10,582.95, 14,605.11 and 6,047.06

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Solution

The fourth proportional to 10,582.95, 14,605.11 and 6,047.06 is: 8,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.95 : 14,605.11 = 6,047.06 : x
  2. Step 2: Convert to fraction form
    10,582.95/14,605.11 = 6,047.06/x
  3. Step 3: Cross multiply
    10,582.95x = 14,605.11 × 6,047.06
  4. Step 4: Simplify right side
    10,582.95x = 88,317,903.45
  5. Step 5: Solve for x
    x = 88,317,903.45/10,582.95
  6. Step 6: Final answer
    x = 8,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.