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Finding the Fourth Proportional to 10,916.08, 15,063.54 and 6,440

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Solution

The fourth proportional to 10,916.08, 15,063.54 and 6,440 is: 8,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.08 : 15,063.54 = 6,440 : x
  2. Step 2: Convert to fraction form
    10,916.08/15,063.54 = 6,440/x
  3. Step 3: Cross multiply
    10,916.08x = 15,063.54 × 6,440
  4. Step 4: Simplify right side
    10,916.08x = 97,009,197.60
  5. Step 5: Solve for x
    x = 97,009,197.60/10,916.08
  6. Step 6: Final answer
    x = 8,886.82

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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.