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Finding the Fourth Proportional to 10,458.32, 14,438.79 and 6,878.93

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Solution

The fourth proportional to 10,458.32, 14,438.79 and 6,878.93 is: 9,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.32 : 14,438.79 = 6,878.93 : x
  2. Step 2: Convert to fraction form
    10,458.32/14,438.79 = 6,878.93/x
  3. Step 3: Cross multiply
    10,458.32x = 14,438.79 × 6,878.93
  4. Step 4: Simplify right side
    10,458.32x = 99,323,353.50
  5. Step 5: Solve for x
    x = 99,323,353.50/10,458.32
  6. Step 6: Final answer
    x = 9,497.07

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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.