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Finding the Fourth Proportional to 10,501.80, 14,492.54 and 5,786.36

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Solution

The fourth proportional to 10,501.80, 14,492.54 and 5,786.36 is: 7,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.80 : 14,492.54 = 5,786.36 : x
  2. Step 2: Convert to fraction form
    10,501.80/14,492.54 = 5,786.36/x
  3. Step 3: Cross multiply
    10,501.80x = 14,492.54 × 5,786.36
  4. Step 4: Simplify right side
    10,501.80x = 83,859,053.75
  5. Step 5: Solve for x
    x = 83,859,053.75/10,501.80
  6. Step 6: Final answer
    x = 7,985.21

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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.