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Finding the Fourth Proportional to 7,690.98, 10,613.76 and 4,706.76

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Solution

The fourth proportional to 7,690.98, 10,613.76 and 4,706.76 is: 6,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.98 : 10,613.76 = 4,706.76 : x
  2. Step 2: Convert to fraction form
    7,690.98/10,613.76 = 4,706.76/x
  3. Step 3: Cross multiply
    7,690.98x = 10,613.76 × 4,706.76
  4. Step 4: Simplify right side
    7,690.98x = 49,956,421.02
  5. Step 5: Solve for x
    x = 49,956,421.02/7,690.98
  6. Step 6: Final answer
    x = 6,495.46

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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.