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Finding the Fourth Proportional to 10,264.02, 15,381.87 and 4,703.54

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Solution

The fourth proportional to 10,264.02, 15,381.87 and 4,703.54 is: 7,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.02 : 15,381.87 = 4,703.54 : x
  2. Step 2: Convert to fraction form
    10,264.02/15,381.87 = 4,703.54/x
  3. Step 3: Cross multiply
    10,264.02x = 15,381.87 × 4,703.54
  4. Step 4: Simplify right side
    10,264.02x = 72,349,240.82
  5. Step 5: Solve for x
    x = 72,349,240.82/10,264.02
  6. Step 6: Final answer
    x = 7,048.82

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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.