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Finding the Fourth Proportional to 10,465.98, 14,438.86 and 6,688.16

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Solution

The fourth proportional to 10,465.98, 14,438.86 and 6,688.16 is: 9,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.98 : 14,438.86 = 6,688.16 : x
  2. Step 2: Convert to fraction form
    10,465.98/14,438.86 = 6,688.16/x
  3. Step 3: Cross multiply
    10,465.98x = 14,438.86 × 6,688.16
  4. Step 4: Simplify right side
    10,465.98x = 96,569,405.90
  5. Step 5: Solve for x
    x = 96,569,405.90/10,465.98
  6. Step 6: Final answer
    x = 9,226.98

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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.