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Finding the Fourth Proportional to 10,484.64, 15,724.80 and 4,637.52

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Solution

The fourth proportional to 10,484.64, 15,724.80 and 4,637.52 is: 6,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.64 : 15,724.80 = 4,637.52 : x
  2. Step 2: Convert to fraction form
    10,484.64/15,724.80 = 4,637.52/x
  3. Step 3: Cross multiply
    10,484.64x = 15,724.80 × 4,637.52
  4. Step 4: Simplify right side
    10,484.64x = 72,924,074.50
  5. Step 5: Solve for x
    x = 72,924,074.50/10,484.64
  6. Step 6: Final answer
    x = 6,955.32

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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.