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Finding the Fourth Proportional to 10,458.60, 15,720.30 and 10,264.20

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Solution

The fourth proportional to 10,458.60, 15,720.30 and 10,264.20 is: 15,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.60 : 15,720.30 = 10,264.20 : x
  2. Step 2: Convert to fraction form
    10,458.60/15,720.30 = 10,264.20/x
  3. Step 3: Cross multiply
    10,458.60x = 15,720.30 × 10,264.20
  4. Step 4: Simplify right side
    10,458.60x = 161,356,303.26
  5. Step 5: Solve for x
    x = 161,356,303.26/10,458.60
  6. Step 6: Final answer
    x = 15,428.10

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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.