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Finding the Fourth Proportional to 10,496.60, 14,486.67 and 6,019.47

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Solution

The fourth proportional to 10,496.60, 14,486.67 and 6,019.47 is: 8,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.60 : 14,486.67 = 6,019.47 : x
  2. Step 2: Convert to fraction form
    10,496.60/14,486.67 = 6,019.47/x
  3. Step 3: Cross multiply
    10,496.60x = 14,486.67 × 6,019.47
  4. Step 4: Simplify right side
    10,496.60x = 87,202,075.46
  5. Step 5: Solve for x
    x = 87,202,075.46/10,496.60
  6. Step 6: Final answer
    x = 8,307.65

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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.