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Finding the Fourth Proportional to 10,587.84, 14,607.84 and 6,111

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Solution

The fourth proportional to 10,587.84, 14,607.84 and 6,111 is: 8,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.84 : 14,607.84 = 6,111 : x
  2. Step 2: Convert to fraction form
    10,587.84/14,607.84 = 6,111/x
  3. Step 3: Cross multiply
    10,587.84x = 14,607.84 × 6,111
  4. Step 4: Simplify right side
    10,587.84x = 89,268,510.24
  5. Step 5: Solve for x
    x = 89,268,510.24/10,587.84
  6. Step 6: Final answer
    x = 8,431.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.