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Finding the Fourth Proportional to 10,646.69, 14,684.63 and 7,055.15

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Solution

The fourth proportional to 10,646.69, 14,684.63 and 7,055.15 is: 9,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.69 : 14,684.63 = 7,055.15 : x
  2. Step 2: Convert to fraction form
    10,646.69/14,684.63 = 7,055.15/x
  3. Step 3: Cross multiply
    10,646.69x = 14,684.63 × 7,055.15
  4. Step 4: Simplify right side
    10,646.69x = 103,602,158.65
  5. Step 5: Solve for x
    x = 103,602,158.65/10,646.69
  6. Step 6: Final answer
    x = 9,730.93

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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.