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Finding the Fourth Proportional to 6,915.78, 10,376.10 and 4,315.68

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Solution

The fourth proportional to 6,915.78, 10,376.10 and 4,315.68 is: 6,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.78 : 10,376.10 = 4,315.68 : x
  2. Step 2: Convert to fraction form
    6,915.78/10,376.10 = 4,315.68/x
  3. Step 3: Cross multiply
    6,915.78x = 10,376.10 × 4,315.68
  4. Step 4: Simplify right side
    6,915.78x = 44,779,927.25
  5. Step 5: Solve for x
    x = 44,779,927.25/6,915.78
  6. Step 6: Final answer
    x = 6,475.04

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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.