Home / 10,564.07-14,565.20-7,729.16

Finding the Fourth Proportional to 10,564.07, 14,565.20 and 7,729.16

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Solution

The fourth proportional to 10,564.07, 14,565.20 and 7,729.16 is: 10,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.07 : 14,565.20 = 7,729.16 : x
  2. Step 2: Convert to fraction form
    10,564.07/14,565.20 = 7,729.16/x
  3. Step 3: Cross multiply
    10,564.07x = 14,565.20 × 7,729.16
  4. Step 4: Simplify right side
    10,564.07x = 112,576,649.76
  5. Step 5: Solve for x
    x = 112,576,649.76/10,564.07
  6. Step 6: Final answer
    x = 10,656.57

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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.