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Finding the Fourth Proportional to 10,602.64, 15,900.90 and 4,277.52

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Solution

The fourth proportional to 10,602.64, 15,900.90 and 4,277.52 is: 6,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.64 : 15,900.90 = 4,277.52 : x
  2. Step 2: Convert to fraction form
    10,602.64/15,900.90 = 4,277.52/x
  3. Step 3: Cross multiply
    10,602.64x = 15,900.90 × 4,277.52
  4. Step 4: Simplify right side
    10,602.64x = 68,016,417.77
  5. Step 5: Solve for x
    x = 68,016,417.77/10,602.64
  6. Step 6: Final answer
    x = 6,415.05

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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.