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Finding the Fourth Proportional to 10,534.77, 15,802.20 and 4,298.22

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Solution

The fourth proportional to 10,534.77, 15,802.20 and 4,298.22 is: 6,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.77 : 15,802.20 = 4,298.22 : x
  2. Step 2: Convert to fraction form
    10,534.77/15,802.20 = 4,298.22/x
  3. Step 3: Cross multiply
    10,534.77x = 15,802.20 × 4,298.22
  4. Step 4: Simplify right side
    10,534.77x = 67,921,332.08
  5. Step 5: Solve for x
    x = 67,921,332.08/10,534.77
  6. Step 6: Final answer
    x = 6,447.35

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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.