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Finding the Fourth Proportional to 10,726.16, 16,095.48 and 4,570

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Solution

The fourth proportional to 10,726.16, 16,095.48 and 4,570 is: 6,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.16 : 16,095.48 = 4,570 : x
  2. Step 2: Convert to fraction form
    10,726.16/16,095.48 = 4,570/x
  3. Step 3: Cross multiply
    10,726.16x = 16,095.48 × 4,570
  4. Step 4: Simplify right side
    10,726.16x = 73,556,343.60
  5. Step 5: Solve for x
    x = 73,556,343.60/10,726.16
  6. Step 6: Final answer
    x = 6,857.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.