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Finding the Fourth Proportional to 10,875.70, 15,007.75 and 6,398.58

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Solution

The fourth proportional to 10,875.70, 15,007.75 and 6,398.58 is: 8,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.70 : 15,007.75 = 6,398.58 : x
  2. Step 2: Convert to fraction form
    10,875.70/15,007.75 = 6,398.58/x
  3. Step 3: Cross multiply
    10,875.70x = 15,007.75 × 6,398.58
  4. Step 4: Simplify right side
    10,875.70x = 96,028,289.00
  5. Step 5: Solve for x
    x = 96,028,289.00/10,875.70
  6. Step 6: Final answer
    x = 8,829.62

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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.