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Finding the Fourth Proportional to 7,156.88, 9,875.40 and 4,012.40

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Solution

The fourth proportional to 7,156.88, 9,875.40 and 4,012.40 is: 5,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.88 : 9,875.40 = 4,012.40 : x
  2. Step 2: Convert to fraction form
    7,156.88/9,875.40 = 4,012.40/x
  3. Step 3: Cross multiply
    7,156.88x = 9,875.40 × 4,012.40
  4. Step 4: Simplify right side
    7,156.88x = 39,624,054.96
  5. Step 5: Solve for x
    x = 39,624,054.96/7,156.88
  6. Step 6: Final answer
    x = 5,536.50

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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.