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Finding the Fourth Proportional to 10,070.16, 15,107.34 and 5,075.34

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Solution

The fourth proportional to 10,070.16, 15,107.34 and 5,075.34 is: 7,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.16 : 15,107.34 = 5,075.34 : x
  2. Step 2: Convert to fraction form
    10,070.16/15,107.34 = 5,075.34/x
  3. Step 3: Cross multiply
    10,070.16x = 15,107.34 × 5,075.34
  4. Step 4: Simplify right side
    10,070.16x = 76,674,887.00
  5. Step 5: Solve for x
    x = 76,674,887.00/10,070.16
  6. Step 6: Final answer
    x = 7,614.07

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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.