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Finding the Fourth Proportional to 10,398.69, 15,599.93 and 4,776.71

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Solution

The fourth proportional to 10,398.69, 15,599.93 and 4,776.71 is: 7,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.69 : 15,599.93 = 4,776.71 : x
  2. Step 2: Convert to fraction form
    10,398.69/15,599.93 = 4,776.71/x
  3. Step 3: Cross multiply
    10,398.69x = 15,599.93 × 4,776.71
  4. Step 4: Simplify right side
    10,398.69x = 74,516,239.75
  5. Step 5: Solve for x
    x = 74,516,239.75/10,398.69
  6. Step 6: Final answer
    x = 7,165.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.