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Finding the Fourth Proportional to 35,710.07, 53,564.57 and 8,692.50

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Solution

The fourth proportional to 35,710.07, 53,564.57 and 8,692.50 is: 13,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.07 : 53,564.57 = 8,692.50 : x
  2. Step 2: Convert to fraction form
    35,710.07/53,564.57 = 8,692.50/x
  3. Step 3: Cross multiply
    35,710.07x = 53,564.57 × 8,692.50
  4. Step 4: Simplify right side
    35,710.07x = 465,609,981.26
  5. Step 5: Solve for x
    x = 465,609,981.26/35,710.07
  6. Step 6: Final answer
    x = 13,038.62

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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.