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Finding the Fourth Proportional to 10,041.98, 13,864.28 and 6,458.60

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Solution

The fourth proportional to 10,041.98, 13,864.28 and 6,458.60 is: 8,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.98 : 13,864.28 = 6,458.60 : x
  2. Step 2: Convert to fraction form
    10,041.98/13,864.28 = 6,458.60/x
  3. Step 3: Cross multiply
    10,041.98x = 13,864.28 × 6,458.60
  4. Step 4: Simplify right side
    10,041.98x = 89,543,838.81
  5. Step 5: Solve for x
    x = 89,543,838.81/10,041.98
  6. Step 6: Final answer
    x = 8,916.95

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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.