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Finding the Fourth Proportional to 7,642.41, 10,541.19 and 7,385.23

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Solution

The fourth proportional to 7,642.41, 10,541.19 and 7,385.23 is: 10,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.41 : 10,541.19 = 7,385.23 : x
  2. Step 2: Convert to fraction form
    7,642.41/10,541.19 = 7,385.23/x
  3. Step 3: Cross multiply
    7,642.41x = 10,541.19 × 7,385.23
  4. Step 4: Simplify right side
    7,642.41x = 77,849,070.18
  5. Step 5: Solve for x
    x = 77,849,070.18/7,642.41
  6. Step 6: Final answer
    x = 10,186.45

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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.