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Finding the Fourth Proportional to 10,367.64, 14,312.16 and 6,117.30

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Solution

The fourth proportional to 10,367.64, 14,312.16 and 6,117.30 is: 8,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.64 : 14,312.16 = 6,117.30 : x
  2. Step 2: Convert to fraction form
    10,367.64/14,312.16 = 6,117.30/x
  3. Step 3: Cross multiply
    10,367.64x = 14,312.16 × 6,117.30
  4. Step 4: Simplify right side
    10,367.64x = 87,551,776.37
  5. Step 5: Solve for x
    x = 87,551,776.37/10,367.64
  6. Step 6: Final answer
    x = 8,444.72

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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.