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Finding the Fourth Proportional to 10,509.60, 15,764.40 and 10,436.70

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Solution

The fourth proportional to 10,509.60, 15,764.40 and 10,436.70 is: 15,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.60 : 15,764.40 = 10,436.70 : x
  2. Step 2: Convert to fraction form
    10,509.60/15,764.40 = 10,436.70/x
  3. Step 3: Cross multiply
    10,509.60x = 15,764.40 × 10,436.70
  4. Step 4: Simplify right side
    10,509.60x = 164,528,313.48
  5. Step 5: Solve for x
    x = 164,528,313.48/10,509.60
  6. Step 6: Final answer
    x = 15,655.05

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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.