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Finding the Fourth Proportional to 10,032.96, 15,038.88 and 4,827.84

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Solution

The fourth proportional to 10,032.96, 15,038.88 and 4,827.84 is: 7,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.96 : 15,038.88 = 4,827.84 : x
  2. Step 2: Convert to fraction form
    10,032.96/15,038.88 = 4,827.84/x
  3. Step 3: Cross multiply
    10,032.96x = 15,038.88 × 4,827.84
  4. Step 4: Simplify right side
    10,032.96x = 72,605,306.42
  5. Step 5: Solve for x
    x = 72,605,306.42/10,032.96
  6. Step 6: Final answer
    x = 7,236.68

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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.