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Finding the Fourth Proportional to 11,178.51, 15,424.52 and 6,461.88

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Solution

The fourth proportional to 11,178.51, 15,424.52 and 6,461.88 is: 8,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.51 : 15,424.52 = 6,461.88 : x
  2. Step 2: Convert to fraction form
    11,178.51/15,424.52 = 6,461.88/x
  3. Step 3: Cross multiply
    11,178.51x = 15,424.52 × 6,461.88
  4. Step 4: Simplify right side
    11,178.51x = 99,671,397.30
  5. Step 5: Solve for x
    x = 99,671,397.30/11,178.51
  6. Step 6: Final answer
    x = 8,916.34

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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.