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Finding the Fourth Proportional to 10,575, 15,862.50 and 4,419

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Solution

The fourth proportional to 10,575, 15,862.50 and 4,419 is: 6,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575 : 15,862.50 = 4,419 : x
  2. Step 2: Convert to fraction form
    10,575/15,862.50 = 4,419/x
  3. Step 3: Cross multiply
    10,575x = 15,862.50 × 4,419
  4. Step 4: Simplify right side
    10,575x = 70,096,387.50
  5. Step 5: Solve for x
    x = 70,096,387.50/10,575
  6. Step 6: Final answer
    x = 6,628.50

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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.