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Finding the Fourth Proportional to 10,526.58, 15,787.44 and 4,680

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Solution

The fourth proportional to 10,526.58, 15,787.44 and 4,680 is: 7,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.58 : 15,787.44 = 4,680 : x
  2. Step 2: Convert to fraction form
    10,526.58/15,787.44 = 4,680/x
  3. Step 3: Cross multiply
    10,526.58x = 15,787.44 × 4,680
  4. Step 4: Simplify right side
    10,526.58x = 73,885,219.20
  5. Step 5: Solve for x
    x = 73,885,219.20/10,526.58
  6. Step 6: Final answer
    x = 7,018.92

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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.