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Finding the Fourth Proportional to 10,045.94, 13,868.91 and 6,864.01

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Solution

The fourth proportional to 10,045.94, 13,868.91 and 6,864.01 is: 9,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.94 : 13,868.91 = 6,864.01 : x
  2. Step 2: Convert to fraction form
    10,045.94/13,868.91 = 6,864.01/x
  3. Step 3: Cross multiply
    10,045.94x = 13,868.91 × 6,864.01
  4. Step 4: Simplify right side
    10,045.94x = 95,196,302.26
  5. Step 5: Solve for x
    x = 95,196,302.26/10,045.94
  6. Step 6: Final answer
    x = 9,476.10

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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.