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Finding the Fourth Proportional to 10,192.66, 14,054.47 and 6,411.20

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Solution

The fourth proportional to 10,192.66, 14,054.47 and 6,411.20 is: 8,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.66 : 14,054.47 = 6,411.20 : x
  2. Step 2: Convert to fraction form
    10,192.66/14,054.47 = 6,411.20/x
  3. Step 3: Cross multiply
    10,192.66x = 14,054.47 × 6,411.20
  4. Step 4: Simplify right side
    10,192.66x = 90,105,931.76
  5. Step 5: Solve for x
    x = 90,105,931.76/10,192.66
  6. Step 6: Final answer
    x = 8,840.28

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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.