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Finding the Fourth Proportional to 10,588.65, 15,901.20 and 10,260.60

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Solution

The fourth proportional to 10,588.65, 15,901.20 and 10,260.60 is: 15,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.65 : 15,901.20 = 10,260.60 : x
  2. Step 2: Convert to fraction form
    10,588.65/15,901.20 = 10,260.60/x
  3. Step 3: Cross multiply
    10,588.65x = 15,901.20 × 10,260.60
  4. Step 4: Simplify right side
    10,588.65x = 163,155,852.72
  5. Step 5: Solve for x
    x = 163,155,852.72/10,588.65
  6. Step 6: Final answer
    x = 15,408.56

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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.