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Finding the Fourth Proportional to 10,025.84, 15,038.76 and 4,550

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Solution

The fourth proportional to 10,025.84, 15,038.76 and 4,550 is: 6,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.84 : 15,038.76 = 4,550 : x
  2. Step 2: Convert to fraction form
    10,025.84/15,038.76 = 4,550/x
  3. Step 3: Cross multiply
    10,025.84x = 15,038.76 × 4,550
  4. Step 4: Simplify right side
    10,025.84x = 68,426,358
  5. Step 5: Solve for x
    x = 68,426,358/10,025.84
  6. Step 6: Final answer
    x = 6,825

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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.