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Finding the Fourth Proportional to 7,641.74, 10,536.08 and 6,045.24

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Solution

The fourth proportional to 7,641.74, 10,536.08 and 6,045.24 is: 8,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.74 : 10,536.08 = 6,045.24 : x
  2. Step 2: Convert to fraction form
    7,641.74/10,536.08 = 6,045.24/x
  3. Step 3: Cross multiply
    7,641.74x = 10,536.08 × 6,045.24
  4. Step 4: Simplify right side
    7,641.74x = 63,693,132.26
  5. Step 5: Solve for x
    x = 63,693,132.26/7,641.74
  6. Step 6: Final answer
    x = 8,334.90

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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.