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Finding the Fourth Proportional to 7,856.93, 11,762.00 and 5,075.49

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Solution

The fourth proportional to 7,856.93, 11,762.00 and 5,075.49 is: 7,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.93 : 11,762.00 = 5,075.49 : x
  2. Step 2: Convert to fraction form
    7,856.93/11,762.00 = 5,075.49/x
  3. Step 3: Cross multiply
    7,856.93x = 11,762.00 × 5,075.49
  4. Step 4: Simplify right side
    7,856.93x = 59,697,862.93
  5. Step 5: Solve for x
    x = 59,697,862.93/7,856.93
  6. Step 6: Final answer
    x = 7,598.12

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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.