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Finding the Fourth Proportional to 10,597.39, 14,616.47 and 7,234.88

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Solution

The fourth proportional to 10,597.39, 14,616.47 and 7,234.88 is: 9,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.39 : 14,616.47 = 7,234.88 : x
  2. Step 2: Convert to fraction form
    10,597.39/14,616.47 = 7,234.88/x
  3. Step 3: Cross multiply
    10,597.39x = 14,616.47 × 7,234.88
  4. Step 4: Simplify right side
    10,597.39x = 105,748,351.48
  5. Step 5: Solve for x
    x = 105,748,351.48/10,597.39
  6. Step 6: Final answer
    x = 9,978.72

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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.