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Finding the Fourth Proportional to 10,501.02, 14,490.09 and 6,024.15

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Solution

The fourth proportional to 10,501.02, 14,490.09 and 6,024.15 is: 8,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.02 : 14,490.09 = 6,024.15 : x
  2. Step 2: Convert to fraction form
    10,501.02/14,490.09 = 6,024.15/x
  3. Step 3: Cross multiply
    10,501.02x = 14,490.09 × 6,024.15
  4. Step 4: Simplify right side
    10,501.02x = 87,290,475.67
  5. Step 5: Solve for x
    x = 87,290,475.67/10,501.02
  6. Step 6: Final answer
    x = 8,312.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.