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Finding the Fourth Proportional to 10,970.78, 15,142.95 and 6,435.99

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Solution

The fourth proportional to 10,970.78, 15,142.95 and 6,435.99 is: 8,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.78 : 15,142.95 = 6,435.99 : x
  2. Step 2: Convert to fraction form
    10,970.78/15,142.95 = 6,435.99/x
  3. Step 3: Cross multiply
    10,970.78x = 15,142.95 × 6,435.99
  4. Step 4: Simplify right side
    10,970.78x = 97,459,874.77
  5. Step 5: Solve for x
    x = 97,459,874.77/10,970.78
  6. Step 6: Final answer
    x = 8,883.59

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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.