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Finding the Fourth Proportional to 10,275.80, 15,417.41 and 4,354.16

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Solution

The fourth proportional to 10,275.80, 15,417.41 and 4,354.16 is: 6,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.80 : 15,417.41 = 4,354.16 : x
  2. Step 2: Convert to fraction form
    10,275.80/15,417.41 = 4,354.16/x
  3. Step 3: Cross multiply
    10,275.80x = 15,417.41 × 4,354.16
  4. Step 4: Simplify right side
    10,275.80x = 67,129,771.07
  5. Step 5: Solve for x
    x = 67,129,771.07/10,275.80
  6. Step 6: Final answer
    x = 6,532.81

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