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Finding the Fourth Proportional to 10,376.10, 14,284.35 and 8,978.31

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Solution

The fourth proportional to 10,376.10, 14,284.35 and 8,978.31 is: 12,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.10 : 14,284.35 = 8,978.31 : x
  2. Step 2: Convert to fraction form
    10,376.10/14,284.35 = 8,978.31/x
  3. Step 3: Cross multiply
    10,376.10x = 14,284.35 × 8,978.31
  4. Step 4: Simplify right side
    10,376.10x = 128,249,322.45
  5. Step 5: Solve for x
    x = 128,249,322.45/10,376.10
  6. Step 6: Final answer
    x = 12,360.07

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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.