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Finding the Fourth Proportional to 10,041.80, 13,857.49 and 5,565.53

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Solution

The fourth proportional to 10,041.80, 13,857.49 and 5,565.53 is: 7,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.80 : 13,857.49 = 5,565.53 : x
  2. Step 2: Convert to fraction form
    10,041.80/13,857.49 = 5,565.53/x
  3. Step 3: Cross multiply
    10,041.80x = 13,857.49 × 5,565.53
  4. Step 4: Simplify right side
    10,041.80x = 77,124,276.32
  5. Step 5: Solve for x
    x = 77,124,276.32/10,041.80
  6. Step 6: Final answer
    x = 7,680.32

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