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Finding the Fourth Proportional to 7,468.64, 10,301.40 and 6,341.76

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Solution

The fourth proportional to 7,468.64, 10,301.40 and 6,341.76 is: 8,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.64 : 10,301.40 = 6,341.76 : x
  2. Step 2: Convert to fraction form
    7,468.64/10,301.40 = 6,341.76/x
  3. Step 3: Cross multiply
    7,468.64x = 10,301.40 × 6,341.76
  4. Step 4: Simplify right side
    7,468.64x = 65,329,006.46
  5. Step 5: Solve for x
    x = 65,329,006.46/7,468.64
  6. Step 6: Final answer
    x = 8,747.11

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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.